How Do You Calculate the Average Velocity and Magnitude in a Squirrel's Path?

  • Thread starter cwheats
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In summary, the average velocity of the squirrel from point A to each of the other three points is different. However, the magnitude of the average velocity is the same for all three points.
  • #1
cwheats
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Homework Statement


The figure below gives the path of a squirrel moving about on level ground, from point A (at time t = 0), to points B (at t = 6.00 min), C (at t = 12.0 min), and finally D (at t = 18.0 min). Both axes are marked in increments of 1.50 m (therefore the diagram is not drawn to scale). Consider the average velocities of the squirrel from point A to each of the other three points.
W0054-Nalt.jpg

(a) Of the three average velocities, which has the least magnitude?
What is this average velocity in magnitude-angle notation?
(b) Which has the greatest magnitude?
What is this average velocity in magnitude-angle notation?


Homework Equations




The Attempt at a Solution



Dont even know how to go about starting this problem someone please help me out.
 
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  • #2
OK. but what do you mean by magnitude-angle notation?
 
  • #3
Not sure, that's what is asked for ...
the answer boxes look like this
[blank] m/s, [blank] ° (counterclockwise from the positive x axis)
 
  • #4
The first thing you need to do is post the definitions of "magnitude" and "average velocity". The second thing is to try to use those definitions to answer the questions.
 
  • #5
cwheats said:

Homework Statement


The figure below gives the path of a squirrel moving about on level ground, from point A (at time t = 0), to points B (at t = 6.00 min), C (at t = 12.0 min), and finally D (at t = 18.0 min). Both axes are marked in increments of 1.50 m (therefore the diagram is not drawn to scale). Consider the average velocities of the squirrel from point A to each of the other three points.
W0054-Nalt.jpg

(a) Of the three average velocities, which has the least magnitude?
What is this average velocity in magnitude-angle notation?
(b) Which has the greatest magnitude?
What is this average velocity in magnitude-angle notation?


Homework Equations




The Attempt at a Solution



Dont even know how to go about starting this problem someone please help me out.

Why don't you split each movement into a parametric equation, x(t) and y(t). From this you can find each component of average velocity during the time interval; after that simply find the magnitude of the resultant vector.
 
  • #6
Fredrik said:
The first thing you need to do is post the definitions of "magnitude" and "average velocity". The second thing is to try to use those definitions to answer the questions.
I think it would also help if he posted his understanding of the terms "displacement" and "velocity."
 

Related to How Do You Calculate the Average Velocity and Magnitude in a Squirrel's Path?

1. What are difficult vectors problems?

Difficult vectors problems are mathematical problems that involve the use of vectors, which are quantities that have both magnitude and direction. These problems can be challenging because they require an understanding of vector algebra and geometry.

2. How do I approach difficult vectors problems?

The best approach to difficult vectors problems is to first identify the given information and the unknown quantities. Then, use vector operations such as addition, subtraction, and dot/cross product to solve for the unknowns. It is also helpful to draw a diagram to visualize the problem.

3. What are some common mistakes when solving difficult vectors problems?

Some common mistakes when solving difficult vectors problems include forgetting to account for vector direction, using the wrong vector operations, and not considering the properties of vectors such as commutativity and associativity. It is important to carefully check your work and make sure all vector operations are performed correctly.

4. How can I improve my skills in solving difficult vectors problems?

To improve your skills in solving difficult vectors problems, practice is key. Make sure you have a solid understanding of vector algebra and geometry principles. Also, try to solve a variety of problems from different sources to expose yourself to different types of problems.

5. Are there any useful resources for practicing difficult vectors problems?

Yes, there are many resources available for practicing difficult vectors problems. You can find practice problems in textbooks, online resources, and even through educational apps. You can also seek help from a tutor or join a study group to work on difficult vectors problems together.

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